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TRS Standard pair #516963718
details
property
value
status
complete
benchmark
divhard.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
AProVE_09_Inductive
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
1.71906781197 seconds
cpu usage
1.722291463
max memory
3.3533952E7
stage attributes
key
value
output-size
3189
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: minus(x,y) -> if(gt(x,y),x,y) 2: if(true(),x,y) -> s(minus(p(x),y)) 3: if(false(),x,y) -> 0() 4: p(0()) -> 0() 5: p(s(x)) -> x 6: ge(x,0()) -> true() 7: ge(0(),s(x)) -> false() 8: ge(s(x),s(y)) -> ge(x,y) 9: gt(0(),y) -> false() 10: gt(s(x),0()) -> true() 11: gt(s(x),s(y)) -> gt(x,y) 12: div(x,y) -> if1(ge(x,y),x,y) 13: if1(true(),x,y) -> if2(gt(y,0()),x,y) 14: if1(false(),x,y) -> 0() 15: if2(true(),x,y) -> s(div(minus(x,y),y)) 16: if2(false(),x,y) -> 0() Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #if(true(),x,y) -> #minus(p(x),y) #2: #if(true(),x,y) -> #p(x) #3: #if1(true(),x,y) -> #if2(gt(y,0()),x,y) #4: #if1(true(),x,y) -> #gt(y,0()) #5: #gt(s(x),s(y)) -> #gt(x,y) #6: #div(x,y) -> #if1(ge(x,y),x,y) #7: #div(x,y) -> #ge(x,y) #8: #minus(x,y) -> #if(gt(x,y),x,y) #9: #minus(x,y) -> #gt(x,y) #10: #ge(s(x),s(y)) -> #ge(x,y) #11: #if2(true(),x,y) -> #div(minus(x,y),y) #12: #if2(true(),x,y) -> #minus(x,y) Number of SCCs: 4, DPs: 7 SCC { #5 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (1 + x1) gt(x1,x2) w: (0) minus(x1,x2) w: (0) if1(x1,x2,x3) w: (0) false() w: (0) div(x1,x2) w: (0) #ge(x1,x2) w: (0) #p(x1) w: (0) true() w: (0) #if1(x1,x2,x3) w: (0) if2(x1,x2,x3) w: (0) p(x1) w: (0) if(x1,x2,x3) w: (0) 0() w: (0) ge(x1,x2) w: (0) #gt(x1,x2) w: (x2 + x1) #minus(x1,x2) w: (0) #if(x1,x2,x3) w: (0) #if2(x1,x2,x3) w: (0) USABLE RULES: { } Removed DPs: #5 Number of SCCs: 3, DPs: 6 SCC { #10 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (1 + x1) gt(x1,x2) w: (0) minus(x1,x2) w: (0) if1(x1,x2,x3) w: (0) false() w: (0) div(x1,x2) w: (0) #ge(x1,x2) w: (x2) #p(x1) w: (0) true() w: (0) #if1(x1,x2,x3) w: (0) if2(x1,x2,x3) w: (0) p(x1) w: (0) if(x1,x2,x3) w: (0) 0() w: (0) ge(x1,x2) w: (0) #gt(x1,x2) w: (0) #minus(x1,x2) w: (0) #if(x1,x2,x3) w: (0) #if2(x1,x2,x3) w: (0) USABLE RULES: { } Removed DPs: #10 Number of SCCs: 2, DPs: 5 SCC { #1 #8 } Sum... Max... QLPOpS... NegMaxSum... succeeded. #div(x1,x2) w: (0) s(x1) w: (max{0, 3 + x1}) gt(x1,x2) w: (max{0, -1 + x1}) minus(x1,x2) w: (0) if1(x1,x2,x3) w: (0) false() w: (0) div(x1,x2) w: (0)
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